Problem Solving involving Linear Equation in one variable

5 added to a number is 9.

• x + 5 = 9

• 9 + 5 = x

• 9 + x = 5

• 5x = 9

3 subtracted from a number is equal to 12.

• 3 - x = 12

• 3 - 12x = 0

• x - 3 =12

• x - 12 = 3

5 times a number decreased by 2 is 4.

• 2 - 5x = 4

• 5x - 4 = 2

• 4 - 5x = 2

• 5x - 2 = 4

A number is 12 more than the other and their sum is 48. Which of the equation models the problem?

• x - 12 = 48

• x + 12 = 48

• 2x + 12 = 48

• 2x = 48

Twice the number decreased by 22 is 48. Which of the following equation models the problem

• 2x = 48

• 2x - 48 = 22

• 22 - 2x = 48

• 2x - 22 = 48

A number is 12 more than the other. Find the numbers if their sum is 48.

• 18 & 30

• 20 & 28

• 19 & 29

• 13 & 35

The sum of two consecutive even numbers is 38. Which of the following equation represents the prblem

• 2x + 1 = 38

• x + 2 = 38

• 2x + 2 = 38

• x + 1 = 38

The sum of two consecutive even numbers is 38. Find the numbers.

• 16 & 18

• 18 & 20

• 20 & 22

• 22 & 24

The sum of three consecutive odd numbers is 51. Find the largest numbers.

• 17

• 19

• 21

• 23

Rene is 6 years older than her younger sister. After 1 0 years, the sum of their ages will be 50 years. Find their present ages.

• 26 & 24

• 22 & 28

• 8 & 10

• 12 & 18